[" The quadratic equation "(1+m^(2))x^(2)+2mcx+c^(2)-a^(2)=0" has equal roots,"],[" prove that "c^(2)=a^(2)(1+m^(2))" ."]

If the equation (1+m^(2))x^(2)+2mcx+(c^(2)-a^(2))=0 has equal roots,prove that c^(2)=a^(2)(1+m^(2))

If the equation (1+m^(2))x^(2)+2mcx+c^(2)-a^(2)= 0 has equal roots, show that c^(2)=a^(2)(1+m^(2)) .

If the equation (1+m^2)x^2+2m c x+(c^2-a^2)=0 has equal roots, prove that c^2=a^2(1+m^2)dot

If the roots of the quadratic equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 be equal then prove that (a)/(b)=(c)/(d)

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-1)x^2-2(m-1)x+1=0 has real and equal roots.

Find m, if the quadratic equation (m-12)x^(2)+2(m-12)x+2=0 has real and eqaul roots.